Fixed point sets in digital topology, 1

zbMath1444.54024arXiv1901.11093MaRDI QIDQ3295086

Laurence Boxer, P. Christopher Staecker

Publication date: 30 June 2020

Full work available at URL: https://arxiv.org/abs/1901.11093

zbMATH Keywords

fixed pointretractiondigital image

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Applications of general topology to computer science (e.g., digital topology, image processing) (54H30)

Related Items (7)

Unnamed Item ⋮ Unnamed Item ⋮ Topological Complexities of Finite Digital Images ⋮ Cold and Freezing Sets in the Digital Plane ⋮ Digital Lefschetz numbers and related fixed point theorems ⋮ Convexity and freezing sets in digital topology ⋮ Subsets and freezing sets in the digital plane

Cites Work

• Unnamed Item
• Unnamed Item
• Homotopy equivalence in finite digital images
• A classical construction for the digital fundamental group
• Digital fixed points, approximate fixed points, and universal functions
• Lectures on Nielsen fixed point theory
• ‘Continuous’ functions on digital pictures
• Digitally continuous functions
• Alternate product adjacencies in digital topology
• Generalized Normal Product Adjacency in Digital Topology
• Remarks on Fixed Point Assertions in Digital Topology

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